Scalar-Field Derivation of Pauli Exclusion from Second-Order Ordering Zero-Sum Support Structure

This paper is archived as a speculative research work. This paper derives the Pauli exclusion principle for completed EAS electron supports from finite scalar-field structure. The derivation begins with the completed electron support S_e^(j) = G_e^A union G_e^B union {j_0, j_1, j_2}, whose three completed channels determine a report space R^3 = R(1, 1, 1) (+) Z. The common-mode line supplies the charge-facing channel, while the zero-sum plane Z = {(P_0, P_1, P_2) : P_0 + P_1 + P_2 = 0} supplies the finite SOO sign sector. Using the phase-specific difference report partial_F^phi and the quadratic SOO report operator K_F^phi = (partial_F^phi)* partial_F^phi, the zero-sum sector supports the double-cover sign pattern on channel-visible eigenspaces satisfying the SOO half-period condition, zell + T = -zₑₗₗ, zell + 2T = zₑₗₗ. This finite sign sector yields an EAS spin-statistics bridge: complete electron two-support states lie in the exterior support-frame sector wedge^2 H_e^phi. Consequently, if two attempted electron supports have the same complete state h in H_e^phi, their two-support frame is degenerate: h wedge h = 0. Thus the scalar fields admit no nondegenerate two-electron state in which two identical electron supports occupy the same complete state. This is the Pauli exclusion principle in scalar-field form. The result is not an interface-readout failure; it is a finite scalar-field admissibility result: duplicate complete electron states determine a degenerate two-support frame, equivalently a zero exterior report.